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Optimal two-level regular fractional factorial split-plot designs when the effects of subplot factors are more important

Author

Listed:
  • Haosheng Jiang

    (Guangzhou University)

  • Chongqi Zhang

    (Guangzhou University)

Abstract

Robust parameter design (RPD) is an engineering methodology that focuses on reducing the variation of a process by appropriately selecting the setting of its control factors so as to make it less sensitive to noise variation. Then control factors are crucial in achieving robustness. If the control factors and noise factors in such a design are treated as the sub-plot (SP) factors and whole plot factors, fractional factorial split-plot (FFSP) design can be used. A minimum aberration of type SP (SP-MA) criterion is proposed to construct two-level regular FFSP designs, which is based on the FFSP-RPD effect hierarchy principle. We also derive the construction results of SP-MA $$2^{(n_1+n_2)-(k_1+k_2)}$$ 2 ( n 1 + n 2 ) - ( k 1 + k 2 ) designs with $$k_1+k_2\le 4$$ k 1 + k 2 ≤ 4 . Some of the SP-MA FFSP-RPDs are better than the MA FFSP-RPDs in Table 5 of Bingham and Sitter (Technometrics 45(1):80–89, 2003). Finally, the SP-MA $$2^{(n_1+n_2)-(k_1+k_2)}$$ 2 ( n 1 + n 2 ) - ( k 1 + k 2 ) designs will be searched and tabulated for 8-, 16-, 32- and 64-run designs.

Suggested Citation

  • Haosheng Jiang & Chongqi Zhang, 2024. "Optimal two-level regular fractional factorial split-plot designs when the effects of subplot factors are more important," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 87(1), pages 75-103, January.
    • Handle: RePEc:spr:metrik:v:87:y:2024:i:1:d:10.1007_s00184-023-00907-3
    DOI: 10.1007/s00184-023-00907-3
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